87651442446381 has 48 divisors (see below), whose sum is σ = 138210551256960. Its totient is φ = 53086276368000.

The previous prime is 87651442446319. The next prime is 87651442446383. The reversal of 87651442446381 is 18364424415678.

87651442446381 is a `hidden beast` number, since 8 + 7 + 6 + 5 + 1 + 4 + 4 + 244 + 6 + 381 = 666.

It is not a de Polignac number, because 87651442446381 - 2¹¹ = 87651442444333 is a prime.

It is a super-2 number, since 2×87651442446381² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87651442446383) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1545552616 + ... + 1545609326.

It is an arithmetic number, because the mean of its divisors is an integer number (2879386484520).

Almost surely, 2^{87651442446381} is an apocalyptic number.

It is an amenable number.

87651442446381 is a deficient number, since it is larger than the sum of its proper divisors (50559108810579).

87651442446381 is a wasteful number, since it uses less digits than its factorization.

87651442446381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66978 (or 66975 counting only the distinct ones).

The product of its digits is 123863040, while the sum is 63.

The spelling of 87651442446381 in words is "eighty-seven trillion, six hundred fifty-one billion, four hundred forty-two million, four hundred forty-six thousand, three hundred eighty-one".